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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 10, Pages 72–75 (Mi ivm3080)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Polynomials with curved majorants on two segments

S. I. Kalmykov

Laboratory of Mathematical Analysis, Institute for Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, Vladivostok, Russia
Full-text PDF (152 kB) Citations (2)
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Abstract: In this paper we prove covering theorems for analytic functions related to polynomials that have curved majorants on two symmetric intervals. These theorems contain and complement some new and classic results for polynomials with restriction on one and two intervals.
Keywords: covering theorems, inequalities for polynomials, Chebyshev polynomials.
Received: 16.01.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 10, Pages 64–67
DOI: https://doi.org/10.3103/S1066369X09100090
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. I. Kalmykov, “Polynomials with curved majorants on two segments”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 72–75; Russian Math. (Iz. VUZ), 53:10 (2009), 64–67
Citation in format AMSBIB
\Bibitem{Kal09}
\by S.~I.~Kalmykov
\paper Polynomials with curved majorants on two segments
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 10
\pages 72--75
\mathnet{http://mi.mathnet.ru/ivm3080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657226}
\zmath{https://zbmath.org/?q=an:1176.30012}
\elib{https://elibrary.ru/item.asp?id=12514162}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 10
\pages 64--67
\crossref{https://doi.org/10.3103/S1066369X09100090}
Linking options:
  • https://www.mathnet.ru/eng/ivm3080
  • https://www.mathnet.ru/eng/ivm/y2009/i10/p72
    • This publication is cited in the following 2 articles:
    1. V. N. Dubinin, “Methods of geometric function theory in classical and modern problems for polynomials”, Russian Math. Surveys, 67:4 (2012), 599–684  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. S. I. Kalmykov, “Covering theorems for polynomials with curved majorants on two segments”, J. Math. Sci. (N. Y.), 178:2 (2011), 170–177  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :61
    References:49
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